Recent puzzles under tag mathematical

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Let x, y be real numbers satisfying: 56x + 33y = –y/(x2 + y2) 33x – 56y = x/(x2 + y2) Find the value of |x| + |y|

posted Jan 27, 2023 by Basabdatta Mukherjee

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The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 can be arranged into an addition sum to add up to almost any total, except......

posted Jan 27, 2023 by Balwinder

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In ten years the combined age of two brothers and two sisters will be 100. What will it be in 7 years time?

posted Jan 25, 2023 by Rajni

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What number comes next in the sequence? 101, 65, 131, 116, 131, 1021, ?

posted Jan 24, 2023 by Harshita Dhaliwal

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Use 4 4's and only 4 4's along with any mathematical operators to make a total of 72.

posted Jan 23, 2023 by Upma

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Triangle ABC is inscribed in a circle. Construct chord AD and let E be the intersection of chords AD and BC. If AB......

posted Jan 20, 2023 by Sandeep Bedi

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A man ordered a length of rope by telephone from his nearest hardware shop. But when he went to collect the rope........

posted Jan 20, 2023 by Pankaj Deshmukh

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Solve the alphametic puzzle by replacing the alphabet with the number.

posted Jan 12, 2023 by Mishthy Mukherjee

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What fraction of the bottle is full with water?

posted Jan 12, 2023 by Yogeshwar Thakur

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Find the missing number. ?, 12, 55; 9, 7, 4; 61, 6, 31

posted Jan 6, 2023 by Rajni

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Kedar was both 13th highest and 13th lowest in a spelling contest. How many children took part in the contest?

posted Jan 5, 2023 by Vikram Luthra

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I am a three digit number. The product of the first and last digits is less than 49. The sum of the first two digits....

posted Jan 2, 2023 by Madhavi Latha

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A man started from home at 14:30 hours and drove to a village. When he arrived, the village clock displayed 15:15.......

posted Dec 28, 2022 by Pushpak Chauhan

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What is the greatest possible area of a triangle with one side of length 7 and another side of length 10?

posted Dec 20, 2022 by Prithvi

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See if you can make 6 different numbers using the 3 digits 1, 2 and 3 and find their sum.

posted Dec 20, 2022 by Harshita Dhaliwal

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Find the missing number. 13, 11, 31; 19, 9, 17; 23, ?, 25

posted Dec 13, 2022 by Samardeep Acharya

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A small circle is contained inside a quarter circle and tangent to one of its sides. A line segment is constructed......

posted Dec 12, 2022 by Nikita Sehgal

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Which are there more of: square feet in half a square mile or cubic yards in a cubic furlong?

posted Dec 7, 2022 by Mohammad

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Find the integer closest to a3 + b3 + c3.

posted Dec 2, 2022 by Prithvi

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You have a thousand Re. 1 coins with you. You have ten bags with you and you can put any number of coins in each........

posted Dec 1, 2022 by Upma

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There is a hypothetical state between the USA and Mexico border ‘Tango’. Here 70 percent of the population..........

posted Nov 28, 2022 by Chahat Sharma

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Let ABC be the triangle with AB = 1, AC = 3, and ∠BAC = π/2. If a circle of radius r > 0 touches the sides AB, AC.......

posted Nov 24, 2022 by Nikita Sehgal

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Use 4 4's and only 4 4's along with any mathematical operators to make a total of 60.

posted Nov 23, 2022 by Rahul Vaidya

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I know there are two methods by using three time the same number with a plus(+) operator , you can make sum as 60......

posted Nov 22, 2022 by Aman

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In the Thar desert, 3 men found a big 24L Jar is full of water. Since there is a shortage of water so they decided......

posted Nov 15, 2022 by Upma

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A fire engine travels seven miles to a fire at a speed of 40 mph. Its tank holds 500 gallons of water but has..........

posted Nov 11, 2022 by Sidharth Malhotra

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Three times what number is no larger than two times the same number?

posted Nov 10, 2022 by Saif Khanam

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What is the area of AFCE, the region shaded in blue?

posted Nov 9, 2022 by Samardeep Acharya

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Working from left to right, calculate the numbers in the order shown (without using order of operation). Replace......

posted Nov 8, 2022 by Anuradha Tabyal

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What is significant about the order of these numbers: 2, 3, 6, 7, 1, 9, 4, 5, 8

posted Nov 7, 2022 by Rahul Vaidya

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If an earthquake is 1 point higher on the Richter Scale than another earthquake which is actually 10 times stronger.....

posted Nov 4, 2022 by Swati Arora

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Pipes A and B are fitted to a tank. A can fill the tank in 11/2 hours and capacity of B which is emptying pipe is.......

posted Oct 28, 2022 by Upma

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Semicircle DE has a right triangle DEF placed over it, where point F is exterior to the semicircle. Let the region......

posted Oct 27, 2022 by Nikhil Pandey

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Find all non-negative integers a and b such that: √a + √b = √2023

posted Oct 27, 2022 by Pardeep Kohli

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C with his 200% efficiency, can complete 25% of a certain work in 12 days. B is 20% more efficient than C...........

posted Oct 27, 2022 by Ujjwal Mehra

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Wheat costing Rs. 42 and Rs. 36 per kg is mixed with third variety in the ratio 3:4:5. If this mixture cost..........

posted Oct 26, 2022 by Sidharth Malhotra

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A shopkeeper earned a profit equal to cost price of 6 times while selling 36 items together. Each item is marked .......

posted Oct 14, 2022 by Karan Joglekar

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Solve for the perimeter of a triangle whose altitudes have lengths of 170, 210, and 357.

posted Oct 13, 2022 by Simranjeet Singh

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In a bag total of blue and red balls is equal to six times the yellow balls and blue balls are two-fifth of total.......

posted Oct 13, 2022 by Pushpak Chauhan

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What is 33 + 4(8 – 5) ÷ 6 = ?

posted Oct 12, 2022 by Maninder Bath

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Two ships leave the port of San Diego, both sailing for the distant shores of Japan. Each ship plans to travel..........

posted Oct 12, 2022 by Yogeshwar Thakur

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Use 4 4's and only 4 4's along with any mathematical operators to make a total of 52?

posted Oct 12, 2022 by Rahul Vaidya

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Out of 21 persons, expenditure of 18 persons is Rs. 120 each for their lunch and remaining 3 spent Rs. 30 more..........

posted Oct 11, 2022 by Swati Arora

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If 'P' is the greatest number, that divides 9086, 12326 and 23126 leaving the same remainder in each case............

posted Oct 10, 2022 by Udita

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For selling a newly purchased phone, Pankaj mark up its price by 25% above the cost price and allows three ..........

posted Oct 10, 2022 by Nimish

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In an inning of a T20 match, a team scores 140 runs only with the help of 4s and/or 6s. In how many ways can a team.....

posted Oct 3, 2022 by Deepak Chitragar

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When a cylindrical tank is 3/7 full, an inlet pipe with a capacity of 4928 liters per hour fills it completely.........

posted Sep 30, 2022 by Akriti

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20 women work on a certain project for 4 days and completes one-tenth of it. 15 men work for the next 'x' days........

posted Sep 29, 2022 by Prithvi

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Three spheres are tangent to a plane at the vertices of a triangle and are tangent to each other. Find the radii........

posted Sep 28, 2022 by Sandeep Otari

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A boy started for school which is 12 km away from his home by bicycle at a speed of 8 km/hr but after 15 minutes.......

posted Sep 28, 2022 by Ankur Athari